Suppose we design a test with 97% specificity and 90% sensitivity on a population of 10,000 with a 4% prevalence for cancer. Assume person A takes the test and the result comes out positive. What is the probability that A has

Q: on an uninfected person. What is the probability that a randomly tested person from this area will…

A: given that

Q: If a researcher wants to estimate the proportion of customers of a coffee shop that favor the new…

A: Given data: Margin of error ( E) = 0.08 Population proportion = 0.75 Confidence level = 0.95 To find…

Q: What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who…

A: Introduction: The Risk of Stroke (%) is the response variable, being predicted using the predictor…

Q: In a population of 1000, 200 have disease X. For a sample of size 16, what is the probability that…

A: Given that in a population of 1000, 200 have the disease. This means the population mean=…

Q: A test for a certain disease takes anywhere from 1 minute to 10 minutes to administer. If the time…

A: From the given information, let X be the test time for the administer to identify the disease. Here,…

Q: A manufacturing company performs a quality control Analysis on the ceramic tile it produces. Suppose…

A: Given Data The total number of tiles is N=20. The defective tiles are d=6. The number of sample…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Consider X be a random variable which follows binomial distribution indicates the blood sample of…

Q: n a genetics experiment on​ peas, one sample of offspring contained 390 green peas and 141 yellow…

A:

Q: A new surgery is successful 70%of the time. If the results of 9 such surgeries are randomly sampled,…

A: Given that a new surgery is successful 70%of the time.  Probability, p = 70% = 0.70 Sample size, n =…

Q: In a getting experiment on pear, one sample of offspring contained 379 green peas and 153 yellow…

A: The probability that getting a green peas is obtained below: The probability of an event A is…

Q: What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The units without evidence of gas leaks or electrical failure showed other types of failure. If this…

A: The data is given by   Gas Yes Gas No Total Electrical failure 55 17 72 No 32 3 35 Total 87…

Q: The acceptance scheme for purchasing lots containing a large number of batteries is to test no more…

A: Given: n = 75 P(failure ) = 0.001 To find: What is the probability that it is rejected in 10 or…

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.2. The experiment ends when either…

A:

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: We have to find given probability.

Q: In a hypothesis test, the Type I error rate is set to a = 0.10. When the null hypothesis is false,…

A: Type I error: In hypothesis testing the Type I error is said to be committed when true null…

Q: Consider the probability distribution of a random variable x. Is the expected value of the…

A: Probability distribution is a mathematical function which gives the probabilities of the outcomes of…

Q: Company records show that the proportion of defective parts has historically been 5%, however a…

A: Given Company records show that the proportion of defective parts has historically been 5%, however…

Q: A reputed school when purchasing large shipments of dry erase markers for all its branches. To do…

A:

Q: In a study of 420,000 cell phone users in Denmark, it was found that 135 developed cancer of the…

A:

Q: The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the…

A: It is given that 90% of Americans have had chickenpox by the time they reach adulthood.

Q: Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is,…

A: Obtain the probability of observing at least 30 cases of hepatomas among the 80 alcoholics with…

Q: A study of 240 randomly selected residents of a subtropical resort city with 82,000 residents found…

A: It is given that n =240 and p =0.03.

Q: If jellybeans are not associated with acne and you adopt an alpha of 5%: What is the probability of…

A: P-value is the probability of obtaining a test statistic as extreme as the one obtained, assuming…

Q: Based on the picture: A. What is the probability that a randomly sampled individual from the…

A: Given datasome people are hypersensitive to the smell of asparagus and can even detect a strong odor…

Q: A female student flips a coin and rolls a die. Assuming statistical independence, what is the…

A: There are 2 possible outcomes when a coin is tossed. Head and Tail. Let us denote H=Head and T=tail…

Q: The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let X be the number of girl child follows Binomial distribution with n=9 and probability of girl…

Q: Suppose the pmf of a random variable X is as given in the accompanying table. What is the…

A:

Q: On a particular production line, the likelihood that a light bulb is defective is 4%. five light…

A:

Q: If a person tests negative, what is the probability that the person is actually free of the disease?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 3030 times,…

A: Given, n = 30 x = 27 p=xn   = 2730   = 0.9 X ~ B(n, p) P(X=x) = Cxn px(1-p)n-x;     x=0,1,2....n…

Q: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautious about…

A: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautiousabout…

Q: If the probability is below 0.01, the data provide strong evidence that the null hypothesis is…

A: P-value or probability value: P-value or probability value method involves the probability of…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: It is provided that the probability, in one country a randomly selected adult being infected with a…

Q: The proportion of Americans who support the death penalty is .53. A sample of 1000 randomly selected…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: What percentage of such patients have a stress score lower than 6.0? b. What is the probability that…

A: Answer:----.                 Date:----26/10/2021

Q: Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease…

A: It is given that a person has a particular disease is 95%. i) The probability that both test results…

Q: under the specified conditions. What is the probability that in ten trials made under these…

A:

Q: Find the probability of getting someone who test positive, given that he or she had the disease…

A:

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: The probability that the adult is infected with virus is 0.004. When at least one of the person has…

Q: What is the probability of a false negative test result? What is the probability of a false…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: ample size 7 o

A: Given as, Random sample size 7 out of 15 people.

Q: 24. When the value of alpha is increased, the probability committing a type II error is

A: Here use graphical representation for better information

Q: 1. In a factory that produces pieces of ready-made concrete, if the percentage of production of…

A: Givenp=0.6n=5x~Binomial(n=5,p=0.6)P(X=x)=Cxn px (1-p)n-x  ; x=0,1...,n

Q: In a hypothesis test, if our calculated probability is greater than alpha, we should accept the null…

A:

Q: In a genetics experiment on​ peas, one sample of offspring contained 396 green peas and 296 yellow…

A: Given,no.of green peas=396no.of yellow peas=296Total no.of peas=692

Q: In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow…

A: Given data Sample of offspring contains 367 green peas and 40 yellow peas Total peas = 367 + 40 =…

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.6. The experiment ends when either…

A: Given, A was flipped at most two times. If coin is tossed 1st time and success then it is {T} If…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.